4 papers · 1 filter
Two Stage Algorithm for Semi-Discrete Optimal Transport on Disconnected Domains
Mohit Bansil
In this paper we present a two-stage algorithm to solve the semi-discrete Optimal Transport Problem in the case where the support of the source measure is disconnected. We establis…
An Analog of the Weyl Law for the Kohn Laplacian on Spheres
Mohit Bansil, Yunus E. Zeytuncu
We present an explicit formula for the leading coefficient in the asymptotic expansion of the eigenvalue counting function of the Kohn Laplacian on the unit sphere $\mathbb{S}^{2n-…
A Newton algorithm for semi-discrete optimal transport with storage fees
Mohit Bansil, Jun Kitagawa
We introduce and prove convergence of a damped Newton algorithm to approximate solutions of the semi-discrete optimal transport problem with storage fees, corresponding to a proble…
An optimal transport problem with storage fees
Mohit Bansil, Jun Kitagawa
We introduce and investigate properties of a variant of the semi-discrete optimal transport problem. In this problem, one is given an absolutely continuous source measure and cost…